Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type

被引：131

作者：

Parand, K. ^{[2
]}

Shahini, M. ^{[2
]}

Dehghan, Mehdi ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

[2] Shahid Beheshti Univ, Dept Comp Sci, GC, Tehran, Iran

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2009年 / 228卷 / 23期

关键词：

Lane-Emden equation; Rational Legendre; Pseudospectral approach; Nonlinear ODE; Semi-infinite; CHEBYSHEV TAU-METHOD; APPROXIMATE SOLUTION; NUMERICAL-SOLUTION; SPECTRAL METHODS; SERIES; CONVERGENCE; ALGORITHM;

D O I：

10.1016/j.jcp.2009.08.029

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Lane-Emden equation is a nonlinear singular equation in the astrophysics that corresponds to the polytropic models. In this paper, a pseudospectral technique is proposed to solve the Lane-Emden type equations on a semi-infinite domain. The method is based on rational Legendre functions and Gauss-Radau integration. The method reduces solving the nonlinear ordinary differential equation to solve a system of nonlinear algebraic equations. The comparison of the results with the other numerical methods shows the efficiency and accuracy of this method. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：8830 / 8840

页数：11

共 47 条

[1] Determination of convergence intervals of the series solutions of Emden-Fowler equations using polytropes and isothermal spheres [J].